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Finding the Fourth Proportional to 89,182.74, 133,793.88 and 30,016.50

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Solution

The fourth proportional to 89,182.74, 133,793.88 and 30,016.50 is: 45,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,182.74 : 133,793.88 = 30,016.50 : x
  2. Step 2: Convert to fraction form
    89,182.74/133,793.88 = 30,016.50/x
  3. Step 3: Cross multiply
    89,182.74x = 133,793.88 × 30,016.50
  4. Step 4: Simplify right side
    89,182.74x = 4,016,023,999.02
  5. Step 5: Solve for x
    x = 4,016,023,999.02/89,182.74
  6. Step 6: Final answer
    x = 45,031.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.